Nano Semi C* Generalized Separation Axioms in Nano Topological Spaces
Keywords:
Nano-sc*ɡ-T0 space, Nano-sc*ɡ-T1 space, Nano-sc*ɡ- T2 space,Nano-sc*ɡ-regular space, Nano-sc*ɡ-Normal space, almost Nano-sc*ɡ-Normal space, mildly Nano-sc*ɡ-Normal space, Nano-sc*ɡ-compact space, Nano-sc*ɡ-connected space, Nano-sc*ɡ-closed graph and strongly Nano-sc*ɡ-closed graph iAbstract
Lellis Thivagar introduced the notion of Nano topology by using theory approximations and boundary region of a subset of a universe in terms of an equivalence relation on it and also defined nano closed sets, nano-interior and nano-closure in a nano topological space. In 2019, A. Pushpalatha and S. Sridevi introduced and investigated a new class of nano closed sets called nano semi c* generalized closed sets. They studied its basic properties and its relation to various other nano closed sets. The class of sets namely Nano-open sets are playing more important role in topological spaces, because of their applications in various fields of Mathematics and other real fields. This paper is devoted to the introduction of Nano-sc*ɡ-separation Axioms namely Nano-sc*ɡ-T0 space, Nano-sc*ɡ-T1 space, Nano-sc*ɡ- T2 space,Nano-sc*ɡ-regular space, Nano-sc*ɡ-Normal space, almost Nano-sc*ɡ-Normal space, mildly Nano-sc*ɡ-Normal space, Nano-sc*ɡ-compact space, Nano-sc*ɡ-connected space, Nano-sc*ɡ-closed graph and strongly Nano-sc*ɡ-closed graph in Nano topological spaces. We investigate the fundamental properties and characterizations of these spaces in Nano topological spaces.
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